Related Rule
Israel
Practice Relating to Rule 46. Orders or Threats That No Quarter Will Be Given
Israel’s Manual on the Rules of Warfare (2006) states:
A war of annihilation without compromise leaves the other side no alternative but to fight to the bitter end. A soldier confronted with a cruel enemy will prefer to fight to the death rather than surrender to someone who will put him to death in any case. A country fighting a brutal and violent enemy will choose to invest all of its resources in the war effort, rather than putting a stop to it. In fact, the military interest tends towards getting the enemy to surrender and breaking it instead of war “to the bitter end”, even regardless of the morality thereof, since, from the military point of view, it is clearly more desirable for the enemy’s soldiers to surrender rather than continue fighting an enemy soldier against whom additional effort has to be invested in order if he is to be overcome. 
Israel, Rules of Warfare on the Battlefield, Military Advocate-General’s Corps Command, IDF School of Military Law, Second Edition, 2006, p. 9.
The Manual on the Rules of Warfare (2006) is a second edition of the Manual on the Laws of War (1998).
According to the Report on the Practice of Israel, the Israel Defense Forces (IDF) do not conduct a policy of “no quarter”. 
Report on the Practice of Israel, 1997, Chapter 2.1.